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Class XI Maths Conic Section 8
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Question 1
If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is:
Question 2
Consider an ellipse, whose centre is at the origin and its major axis is along the x-axis. If its eccentricity is 
and the distance between its foci is 6, then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is:
and the distance between its foci is 6, then the area (in sq. units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is: Question 3
The points where the normals to the ellipse x2 + 3y2 = 37 are parallel to the line 6x – 5y = 2 are -
Question 4
The minimum distance of a point on the curve y = x2 - 4 from the origin is:
Question 5
P and Q are two distinct points on the parabola, y2=4x with parameters t and t1 respectively. If the normal at P passes through Q, then the minimum value of (t1)2 is:
Question 6
If PSQ is a focal chord of the parabola y^2=8x such that SP=6 then SQ is
Question 7
The number of distinct normal that can be drawn from (-2, 1) to the parabola y2 - 4x - 2y – 3 = 0 is
Question 8
Let a and b respectively be the semi-transverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 - 18e + 5 = 0. If S(5, 0) is a focus and 5x=9 is the corresponding directrix of this hyperbola, then a2−b2 is equal to:
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Apr 1JEE & BITSAT
